{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import torch\n",
    "import torch.nn as nn\n",
    "import torch.nn.functional as F\n",
    "from torch.autograd import Variable\n",
    "\n",
    "import torchvision\n",
    "from torchvision import datasets\n",
    "from torchvision import transforms\n",
    "from torchvision.utils import save_image\n",
    "\n",
    "from IPython.display import Image"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "bs = 128\n",
    "epochs = 10"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def to_var(x):\n",
    "    if torch.cuda.is_available():\n",
    "        x = x.cuda()\n",
    "    return Variable(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "def flatten(x):\n",
    "    return to_var(x.view(x.size(0), -1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "def save_image(x, path='real_image.png'):\n",
    "    torchvision.utils.save_image(x, path)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Load Data\n",
    "dataset = datasets.MNIST(root='./data', train=True, transform=transforms.ToTensor(), download=False)\n",
    "data_loader = torch.utils.data.DataLoader(dataset, batch_size=bs, shuffle=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Fixed input for debugging\n",
    "fixed_x, _ = next(iter(data_loader))\n",
    "save_image(fixed_x)\n",
    "fixed_x = flatten(fixed_x)\n",
    "\n",
    "Image('real_image.png')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [],
   "source": [
    "class VAE(nn.Module):\n",
    "    def __init__(self, image_size=784, h_dim=400, z_dim=20):\n",
    "        super(VAE, self).__init__()\n",
    "        self.encoder = nn.Sequential(\n",
    "            nn.Linear(image_size, h_dim),\n",
    "            nn.LeakyReLU(0.2),\n",
    "            nn.Linear(h_dim, z_dim*2)\n",
    "        )\n",
    "        \n",
    "        self.decoder = nn.Sequential(\n",
    "            nn.Linear(z_dim, h_dim),\n",
    "            nn.ReLU(),\n",
    "            nn.Linear(h_dim, image_size),\n",
    "            nn.Sigmoid()\n",
    "        )\n",
    "    \n",
    "    def reparameterize(self, mu, logvar):\n",
    "        std = logvar.mul(0.5).exp_()\n",
    "        esp = to_var(torch.randn(*mu.size()))\n",
    "        z = mu + std * esp\n",
    "        return z\n",
    "    \n",
    "    def forward(self, x):\n",
    "        h = self.encoder(x)\n",
    "        mu, logvar = torch.chunk(h, 2, dim=1)\n",
    "        z = self.reparameterize(mu, logvar)\n",
    "        return self.decoder(z), mu, logvar"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "VAE(\n",
       "  (encoder): Sequential(\n",
       "    (0): Linear(in_features=784, out_features=400, bias=True)\n",
       "    (1): LeakyReLU(0.2)\n",
       "    (2): Linear(in_features=400, out_features=40, bias=True)\n",
       "  )\n",
       "  (decoder): Sequential(\n",
       "    (0): Linear(in_features=20, out_features=400, bias=True)\n",
       "    (1): ReLU()\n",
       "    (2): Linear(in_features=400, out_features=784, bias=True)\n",
       "    (3): Sigmoid()\n",
       "  )\n",
       ")"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "vae = VAE()\n",
    "if torch.cuda.is_available():\n",
    "    vae.cuda()\n",
    "vae"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [],
   "source": [
    "optimizer = torch.optim.Adam(vae.parameters(), lr=1e-3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [],
   "source": [
    "def loss_fn(recon_x, x, mu, logvar):\n",
    "    BCE = F.binary_cross_entropy(recon_x, x, size_average=False)\n",
    "\n",
    "    # see Appendix B from VAE paper:\n",
    "    # Kingma and Welling. Auto-Encoding Variational Bayes. ICLR, 2014\n",
    "    # 0.5 * sum(1 + log(sigma^2) - mu^2 - sigma^2)\n",
    "    KLD = -0.5 * torch.sum(1 + logvar - mu**2 -  logvar.exp())\n",
    "    return BCE + KLD"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [],
   "source": [
    "epochs = 10"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch[0/10] Loss: 547.172\n",
      "Epoch[1/10] Loss: 124.727\n",
      "Epoch[2/10] Loss: 112.528\n",
      "Epoch[3/10] Loss: 111.575\n",
      "Epoch[4/10] Loss: 109.886\n",
      "Epoch[5/10] Loss: 108.271\n",
      "Epoch[6/10] Loss: 109.063\n",
      "Epoch[7/10] Loss: 105.011\n",
      "Epoch[8/10] Loss: 105.976\n",
      "Epoch[9/10] Loss: 103.578\n"
     ]
    }
   ],
   "source": [
    "for epoch in range(epochs):\n",
    "    for idx, (images, _) in enumerate(data_loader):\n",
    "        images = flatten(images)\n",
    "        recon_images, mu, logvar = vae(images)\n",
    "        loss = loss_fn(recon_images, images, mu, logvar)\n",
    "\n",
    "        optimizer.zero_grad()\n",
    "        loss.backward()\n",
    "        optimizer.step()\n",
    "        \n",
    "        if idx%100 == 0:\n",
    "            print(\"Epoch[{}/{}] Loss: {:.3f}\".format(epoch+1, epochs, loss.data[0]/bs))\n",
    "    \n",
    "            recon_x, _, _ = vae(fixed_x)\n",
    "            save_image(recon_x.view(recon_x.size(0), 1, 28, 28).data.cpu(), f'reconstructed/recon_image_{epoch}_{idx}.png')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 49,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sample = Variable(torch.randn(128, 20))\n",
    "recon_x = vae.decoder(sample)\n",
    "# recon_x, _, _ = vae(fixed_x)\n",
    "\n",
    "save_image(recon_x.view(recon_x.size(0), 1, 28, 28).data.cpu(), 'sample_image.png')\n",
    "Image('sample_image.png')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "images = []\n",
    "for file in sorted([file for file in Path('reconstructed').glob('*.png')]):\n",
    "    images.append(imageio.imread(file))\n",
    "imageio.mimsave('recon_image.gif', images)\n",
    "Image(filename=\"recon_image.gif\")"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
